Reliability¶
Events¶
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Event defined in the standard space. |
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Event defined from a process and a domain. |
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Event defined from a domain. |
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Random vector defined from a comparison operator and a threshold. |
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Event defined as the intersection of several events. |
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Event defined as the union of several events. |
Analytical algorithms¶
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Base class to evaluate the probability of failure of a system. |
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Analytical result. |
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First Order Reliability Method (FORM). |
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Result of a FORM analysis. |
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FORM approximation with multiple design points. |
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Multiple FORM result. |
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Second Order Reliability Method (SORM). |
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Result of a SORM analysis. |
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Approximation algorithm for system events based on FORM. |
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Strong Maximum Test. |
Simulations methods¶
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Base class for simulation algorithms. |
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EventSimulation result base class. |
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Base class for sampling methods. |
Iterative sampling methods. |
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Probability simulation result. |
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Directional sampling algorithm. |
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Post analytical simulation. |
Post analytical controlled importance sampling. |
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Post analytical importance sampling. |
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Subset simulation. |
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Subset sampling result. |
Adaptive directional simulation. |
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Nonparametric Adaptive Importance Sampling (NAIS) algorithm. |
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NAIS result. |
Cross-Entropy Importance Sampling algorithm. |
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Physical Space Cross-Entropy Importance Sampling. |
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Standard Space Cross-Entropy Importance Sampling. |
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Cross Entropy result. |
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Line sampling algorithm. |
Quantile confidence¶
Estimate confidence intervals of a quantile. |
Simulation sensitivity analysis¶
Class to perform a sensitivity analysis based on a reliability event. |
Root Strategy¶
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Base class for root strategies. |
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RiskyAndFast method. |
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MediumSafe method. |
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SafeAndSlow method. |
Sampling Strategy¶
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Base class for directions sampling strategies. |
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Directions sampling following the random direction strategy. |
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Directions sampling following the orthogonal direction strategy. |
Non linear solvers¶
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SolverImplementation of 1D non linear equations. |
Solve systems of non-linear equations using a least squares method. |
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Bisection algorithm solver for 1D non linear equations. |
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Brent algorithm solver for 1D non linear equations. |
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Secant algorithm solver for 1D non linear equations. |